A. Baudes, B. C. Morel, and J. , A Review of Image Denoising Algorithms, with a New One, Multiscale Modeling & Simulation, vol.4, issue.2, pp.490-530, 2005.
DOI : 10.1137/040616024

J. Angulo and S. Velasco-forero, STRUCTURALLY ADAPTIVE MATHEMATICAL MORPHOLOGY BASED ON NONLINEAR SCALE-SPACE DECOMPOSITIONS, Image Analysis & Stereology, vol.30, issue.2, pp.111-122, 2011.
DOI : 10.5566/ias.v30.p111-122

URL : https://hal.archives-ouvertes.fr/hal-00658903

J. Angulo, Morphological Bilateral Filtering and Spatially-Variant Adaptive Structuring Functions, ISMM'11, pp.212-223, 2011.
DOI : 10.1007/978-3-642-21569-8_19

URL : https://hal.archives-ouvertes.fr/hal-00658950

J. Angulo and S. Velasco-forero, Stochastic morphological filtering and bellmanmaslov chains, Proceeding of ISMM'13, 2013.
DOI : 10.1007/978-3-642-38294-9_15

URL : https://hal.archives-ouvertes.fr/hal-00834635

S. Beucher, J. M. Blosseville, and F. Lenoir, Traffic spatial measurements using video image processing, Proc. Intelligent Robots and Computer Vision, 1988.
DOI : 10.1117/12.942815

N. Bouaynaya, M. Charif-chefchaouni, and D. Schonfeld, Theoretical Foundations of Spatially-Variant Mathematical Morphology Part I: Binary Images, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.30, issue.5, pp.823-836, 2008.
DOI : 10.1109/TPAMI.2007.70754

X. Bresson and T. F. Chan, Non-local unsupervised variational image segmentation models, Tech. rep., UCLA CAM, 2008.

A. Buades, B. Coll, and J. M. Morel, Image Denoising Methods. A New Nonlocal Principle, SIAM Review, vol.52, issue.1, pp.113-147, 2010.
DOI : 10.1137/090773908

B. Burgeth and J. Weickert, An Explanation for the Logarithmic Connection between Linear and Morphological System Theory, International Journal of Computer Vision, vol.10, issue.3, pp.157-169, 2005.
DOI : 10.1007/s11263-005-1841-z

O. Cuisenaire, Locally adaptable mathematical morphology using distance transformations, Pattern Recognition, vol.39, issue.3, pp.405-416, 2006.
DOI : 10.1016/j.patcog.2005.07.009

URL : http://infoscience.epfl.ch/record/87339

. Fig, Examples of classical (top) and sparse nonlocal (bottom) erosion and dilations, where patches are squares 5 × 5, ? = 200 and k = 5. Original image in Fig

J. Debayle and J. C. Pinoli, SPATIALLY ADAPTIVE MORPHOLOGICAL IMAGE FILTERING USING INTRINSIC STRUCTURING ELEMENTS, Image Analysis & Stereology, vol.23, issue.3, pp.145-158, 2005.
DOI : 10.5566/ias.v24.p145-158

URL : https://doaj.org/article/f8aeac3aab904e5e8deee587700fca16

G. Gilboa and S. Osher, Nonlocal Linear Image Regularization and Supervised Segmentation, Multiscale Modeling & Simulation, vol.6, issue.2, pp.595-630, 2007.
DOI : 10.1137/060669358

J. Grazzini and P. Soille, Edge-preserving smoothing using a similarity measure in adaptive geodesic neighbourhoods, Pattern Recognition, vol.42, issue.10, pp.2306-2316, 2009.
DOI : 10.1016/j.patcog.2008.11.004

URL : http://publications.jrc.ec.europa.eu/repository/handle/JRC49304

H. Heijmans, Theoretical aspects of gray-level morphology, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.13, issue.6, pp.568-582, 1991.
DOI : 10.1109/34.87343

V. Katkovnik, A. Foi, K. Egiazarian, and J. Astola, From Local Kernel to Nonlocal Multiple-Model Image Denoising, International Journal of Computer Vision, vol.11, issue.1, pp.1-32, 2010.
DOI : 10.1007/s11263-009-0272-7

R. Lerallut, E. Decencì-ere, and F. Meyer, Image filtering using morphological amoebas, Image and Vision Computing, vol.4, issue.25, pp.395-404, 2007.
DOI : 10.1007/1-4020-3443-1_2

URL : https://hal.archives-ouvertes.fr/hal-01431825

O. Lézoray and A. Elmoataz, Nonlocal and multivariate mathematical morphology, 2012 19th IEEE International Conference on Image Processing, 2012.
DOI : 10.1109/ICIP.2012.6466812

P. Maragos, Slope transforms: theory and application to nonlinear signal processing, IEEE Transactions on Signal Processing, vol.43, issue.4, pp.864-877, 1995.
DOI : 10.1109/78.376839

URL : http://dspace.lib.ntua.gr/handle/123456789/24129

P. Milanfar, Symmetrizing Smoothing Filters, SIAM Journal on Imaging Sciences, vol.6, issue.1, 2013.
DOI : 10.1137/120875843

URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=

V. Morard, E. Decencì-ere, and P. Dokládal, Region growing structuring elements and new operators based on their shape, Signal and Image Proc, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00834502

J. B. Roerdink, Adaptivity and group invariance in mathematical morphology, 2009 16th IEEE International Conference on Image Processing (ICIP), pp.2253-2256, 2009.
DOI : 10.1109/ICIP.2009.5413983

P. Salembier, Study on nonlocal morph. operators, pp.2269-2272, 2009.

J. Serra, Image Analysis and Mathematical Morphology, 1982.

V. Ta, A. Elmoataz, and O. Lezoray, Nonlocal PDEs-based morphology on weighted graphs for image and data proc, IEEE Trans. Im. Proc, vol.20, issue.6, pp.1504-1516, 2011.